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The Poisson Rain Tessellation Under Spatial Expansion and Temporal Transformation
The Poisson Rain Tessellation Spatial Expansion Temporal Transformation Probability
2012/4/16
For cell-division processes in a window, Cowan introduced four selection rules and two division rules each of which stands for one cell-division model. One of these is the area-weighted in-cell model....
Multiplicative white noise functionals and the Krylov-Veretennikov expansion for coalescing stochastic flows
Krylov-Veretennikov expansion coalescing stochastic flows Probability
2011/9/20
Abstract: In this article we consider multiplicative operator-valued white noise functionals related to a stochastic flow. A generalization of the Krylov-Veretennikov expansion is presented. An analog...
Asymptotic expansion of beta matrix models in the one-cut regime
Asymptotic expansion beta matrix models the one-cut regime Probability
2011/8/26
Abstract: We prove the existence of a 1/N expansion to all orders in beta matrix models with a confining, off-critical potential corresponding to an equilibrium measure with a connected support. Thus,...
Abstract: We present a new representation for the Levy chordal area for a two-dimensional Wiener process conditioned on its endpoints. This is based on an infinite weighted sum of Logistic random vari...